Question

1. in the figure, $jk=5x+7$, $kl=7x+2$ and $jl=45$.

6a find $x$.

Explanation:

Step1: Set up segment sum equation

Since $J$, $K$, $L$ are collinear, $JK + KL = JL$. Substitute the given expressions:
$$(5x + 7) + (7x + 2) = 45$$

Step2: Combine like terms

Add the $x$-terms and constant terms:
$$12x + 9 = 45$$

Step3: Isolate the $x$-term

Subtract 9 from both sides:
$$12x = 45 - 9$$
$$12x = 36$$

Step4: Solve for $x$

Divide both sides by 12:
$$x = \frac{36}{12}$$

Answer:

$x = 3$